Press 'o' to toggle the slide overview and 'f' for full-screen mode.

Choose the theme in which to view this presentation:

Black - White - League - Sky - Beige - Simple
Serif - Blood - Night - Moon - Solarized




Copyright © John Lindsay, 2015

GEOG*2420

The Earth From Space


Photogrammetry Part 3



John Lindsay
Fall 2015

Methods based on parallax

  • The effect whereby the position or direction of an object appears to differ when viewed from different positions.
  • These are the most useful approaches to measuring heights from images.
  • Requires high quality stereoscopic photo pairs (two overlapping images).
  • Image tilt must be less than 3 degrees.
  • Images must be taken from the same height.

Parallax

parallax (From: Booyabazooka CC License)
parallax

Parallax

parallax (From: Jensen 2007)
parallax

Steroscopic viewing methods

parallax (From: Jensen 2007)

Lens Stereoscope with Parallax Bar

parallax (From: Jensen 2007)
parallax (From: Jensen 2007)
parallax (From: Jensen 2007)
parallax
Notice that the average absolute parallax (Distance between PP and CPP) is the image distance equivalent to the air base.

Parallax equation for level terrain

\(h = \frac {H{dP}}{P + {dP}}\)

  • h = height of the object being measured
  • H = flying hgt. above the object base
  • P = Average absolute parallax (avg. Distance between PP and CPP)
  • dP = difference in parallax between top and bottom of the object
parallax
(From: Mersey)

Parallax equation for mountainous terrain

\(h = \frac {H{dP}}{P + \frac {P \Delta E}{H} {dP}}\)

  • ΔE = Elevation difference between the object base and the average of the two PPs, + if higher and – if lower.

Measuring P

measuring P
(From: Mersey)

Measuring dP

measuring dP
(From: Mersey)

Measuring dP

measuring dP
(From: Mersey)
measuring dP
(From: Jensen 2007)
measuring dP
(From: Jensen 2007)
measuring dP

Using a parallax bar to
measure differential parallax

measuring dP
(From: Mersey)

Extraction of Building Infrastructure Using
Soft-Copy Photogrammetric Techniques

measuring dP
(From: Jensen 2007)
measuring dP
(From: Jensen 2007)

Digital Elevation Models (DEMs)

  • You can calculate the parallax for any location on stereo-images.

  • It is commonly the case that this would be done along a regular grid and these x, y, z points then used to create DEMs.

Digital Elevation Models (DEMs)

measuring dP

Digital Elevation Models (DEMs)

  • In the field of Computer Vision (stereo-vision), a disparity map/image is equivalent to a DEM...measures the distance from the camera.

  • Often calculated using OpenCV or Matlab software and from images taken by uncalibrated cameras.

  • These frequently lack the precision of a survey-grade DEM.

Disparity Map

Disparity (From: Sepehri)

Photogrammetry isn't just
about measuring heights

  • It also includes measuring heights, angles, distances, and areas.

  • Why might you want to measure an area off imagery?

The challenges...

  • It's easy to measure the area of simple shapes but what about more complex shapes?

  • Images are not maps and are affected by distortions and displacements.

  • Raw images have non-uniform scale throughout.

Areas of simple shapes

Areas

But what about the area of this?

Areas of irregular shaped features

Methods for measuring areas

  • Weight apportionment method
    • Calculates the percent coverage of a particular land cover compared to total
    • Need a very precise balance

  • Dot count method
    • Transparent overlay with fine grid of dots

Methods for measuring areas

  • Planimeter
    • Specially designed instrument to measure perimeters and areas
    • Must convert to ground units.

  • Digitizing tablets

  • On-screen digitizing

On-screen digitizing

  • Either scan a hardcopy image or use digital imagery.

  • Digitizing takes place in a geographic information system (GIS).

  • Each digitized polygon becomes a record in a GIS attribute table.

  • The attribute (e.g. Forest, farmland), perimeter, and area are easily queried from the table.
on-screen digitizing

On-screen digitizing

  • Best to geometrically rectify before you digitize!

  • This is the process of creating an orthophoto to serve as the base for digitizing.

Orthophotos/Orthoimages

  • Convert images with perspective projections (conical bundle of rays) to an orthographic projection (parallel rays)
orthophoto interpretation

Orthophotos/Orthoimages

  • The effects of tilt and relief are removed.

  • An orthophoto is a uniform-scale photograph. It is a photographic map.

  • Since an orthophoto has a uniform scale, it is possible to measure directly on it like other maps.
orthophoto
(From: USGS)

Orthophotos/Orthoimages

  • The accuracy of a digital orthoimage is a function of:
    • The quality of the raw imagery
    • The ground control points (GCPs)
    • The quality and character of the DEM

Orthophotos/Orthoimages

  • Orthorectification is challenging in areas of rapid elevation change, which is common in urban areas containing tall buildings.

  • So called 'True' orthoimages not only remove topographic displacement due to the terrain, but also the effects of off-terrain objects.

  • This requires a digital surface model (DSM) rather than a bare-Earth DEM.
True Orthophotos/Orthoimages
true orthophoto (From: Nielsen, 2004)